I think this may be less about if chaotic PE exists, and more about what we tend to call "power electronics". Perhaps even more, that there is a lot of stuff that may be called "heavy electronics", rather than power electronics. The type of stuff what might be dominating the scene. You can easily lump it into tradition born from SPK and going through Genocide Organ, far more rooted to industrial. Not the power electronics of Whitehouse/Ramleh/SJ type of path.
It could be that we might (that includes often myself) call "power electronics" something that could be actually better to refer as industrial, but as we all know what "industrial" might mean for some people, term might be avoided?
Still we are in situation where material reminding SPK gets called "power electronics", and stuff that sounds like power electronics may be called... noise?
Contemporary example bands like Heydrich. He has two full length CD's, couple tapes. One being:
https://youtu.be/9A9U4PQPtPs?si=umPkwWxJVAh84diSSo.. here we have something that is instrumental broken electronics, perhaps radio static and how many would call it "power electronics", even if it is pretty much as power electronics as it can get. Just somewhere in lines of early Consumer Electronics, SJ, Victor/Victim,...
I don't think there is shortage of free form fierce and dark electronic noise, but very much possible we do not call it "power electronics". Even something such as HÖH. Superorganism LP has couple of those tracks that have eerie flanger vocals and utterly broken pause-button tape hiss noise. Could be in perfect line with being called power electronics, yet it is not what it is called.
I would think this is more about how it changes how music is being "categorized". It happens in the other genres too. If someone tells me there is this dark and grim crush band, I make expect DISFEAR or DISCLOSE, but what is called "crust" can be anything Iron Maiden sounding melodic D-beat with synths. Or hearing death metal that is barely metal. Some sort of radio friendly melodic rock. Or Black Metal that has no metal and nothing in common with what was formerly associated with genre.
Like Strikefirst mentions, no shortage of quite free form nasty and noisy power electronics. Just got to look where to get it, if the more structured heavy electronics / industrial doesn't appeal to tastes.